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Finding the Fourth Proportional to 10,997.38, 15,179.03 and 6,284.40

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Solution

The fourth proportional to 10,997.38, 15,179.03 and 6,284.40 is: 8,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.38 : 15,179.03 = 6,284.40 : x
  2. Step 2: Convert to fraction form
    10,997.38/15,179.03 = 6,284.40/x
  3. Step 3: Cross multiply
    10,997.38x = 15,179.03 × 6,284.40
  4. Step 4: Simplify right side
    10,997.38x = 95,391,096.13
  5. Step 5: Solve for x
    x = 95,391,096.13/10,997.38
  6. Step 6: Final answer
    x = 8,673.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.